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Finding the Fourth Proportional to 275.19, 414.71 and 235.14

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Solution

The fourth proportional to 275.19, 414.71 and 235.14 is: 354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.19 : 414.71 = 235.14 : x
  2. Step 2: Convert to fraction form
    275.19/414.71 = 235.14/x
  3. Step 3: Cross multiply
    275.19x = 414.71 × 235.14
  4. Step 4: Simplify right side
    275.19x = 97,513.73
  5. Step 5: Solve for x
    x = 97,513.73/275.19
  6. Step 6: Final answer
    x = 354.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.